Peter Fischer-Møller (born 29 June 1955 in Charlottenlund) is a Danish prelate who served as the Bishop of Roskilde from 2008 until 2022.

Fischer-Møller became a high school student in 1973 at Øregaard Gymnasium and specialised in mathematics and physics.

Jan Lindhardt retired as Bishop of Roskilde in 2008 and choose Peter Fischer-Møller as one of five candidates to succeed him.

At the first election, Fischer-Møller and Henrik Wigh-Poulsen, editor and head of the Grundtvig Academy, received the majority of votes with 562 each.

Poul Joachim Stender received twelve votes less and protested over the election results, as there were more voters than ballot papers.